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Finding the Fourth Proportional to 7,442, 11,164.60 and 2,511.76

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Solution

The fourth proportional to 7,442, 11,164.60 and 2,511.76 is: 3,768.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442 : 11,164.60 = 2,511.76 : x
  2. Step 2: Convert to fraction form
    7,442/11,164.60 = 2,511.76/x
  3. Step 3: Cross multiply
    7,442x = 11,164.60 × 2,511.76
  4. Step 4: Simplify right side
    7,442x = 28,042,795.70
  5. Step 5: Solve for x
    x = 28,042,795.70/7,442
  6. Step 6: Final answer
    x = 3,768.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.